x^2+6x^2-32=0

Solution for x^2+6x^2-32=0 equation:

Simplifying
x2 + 6x2 + -32 = 0

Reorder the terms:
-32 + x2 + 6x2 = 0

Combine like terms: x2 + 6x2 = 7x2
-32 + 7x2 = 0

Solving
-32 + 7x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '32' to each side of the equation.
-32 + 32 + 7x2 = 0 + 32

Combine like terms: -32 + 32 = 0
0 + 7x2 = 0 + 32
7x2 = 0 + 32

Combine like terms: 0 + 32 = 32
7x2 = 32

Divide each side by '7'.
x2 = 4.571428571

Simplifying
x2 = 4.571428571

Take the square root of each side:
x = {-2.138089935, 2.138089935}